$9\mathrm{.}4.$ The short column shown in Fig. P$9\mathrm{.}4$ will be subjected to an eccentric load causing uniaxial bending about the $Y$ axis. Material strengths are $f_y=60$ksi and $f_c^{\text{'}}=4$ksi.

$($a$)$ Construct the nominal strength interaction curve for this column, calculating no fewer than five points, including those corresponding to pure bending, pure axial thrust, and balanced failure.

$($b$)$ Compare the calculated values with those obtained using Graph A$.10$ in Appendix A$.$

$($c$)$ Show on the same drawing the design strength curve obtained through introduction of the ACI $$ factors.

$($d$)$ Design the transverse reinforcement for the column, giving key dimensions for ties.